Finite Group Databasebeta

← Group #288615

Character table — Group #288615

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444488888888884444888888824444488888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-111-111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-11-1-111-1-1-1-1-1-111-1-111
χ6111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-111-1-111-1-1-1-1-1-11111
χ9111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-111-1-1-11111-1-11-1-1-11-1
χ10111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-111-11-1-11-111-1-1-1-1111-111-11
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1111-111-11-1-111-1-111-11-1-1-11
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-1111-1-111-1-1-11111-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-111-11-1-1-1-1-1-1111-1111-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11111111-1-11-1-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-111-1-1-1-1-111-1-1-1111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-11-11111-1-111-11-1-11-1
χ17222222222-2-22-2-2-22222-2-2000000002222-20000000000000000-2-20000
χ18222222222-2-22-2-2-22222-2-200000000-2-2-2-2-20000000000000000220000
χ19222222222-2-22-2-2-2-2-2-2-2220000000022-2-220000000000000000-220000
χ20222222222-2-22-2-2-2-2-2-2-22200000000-2-222200000000000000002-20000
χ21222222-2-2-2-2-2-22-220000002i2i−2i−2i0000000002i−2i0000002i−2i000000002-200
χ22222222-2-2-2-2-2-22-220000002i2i−2i−2i0000000002i−2i000000−2i2i00000000-2200
χ23222222-2-2-2-2-2-22-22000000−2i−2i2i2i000000000−2i2i0000002i−2i00000000-2200
χ24222222-2-2-2-2-2-22-22000000−2i−2i2i2i000000000−2i2i000000−2i2i000000002-200
χ252222-2-22-2222-2-2-2222-2-222000000000000-20002-20-2200000000000000
χ262222-2-22-2222-2-2-2222-2-222000000000000-2000-2202-200000000000000
χ272222-2-22-2222-2-2-22-2-222-2-20000000000002000220-2-200000000000000
χ282222-2-22-2222-2-2-22-2-222-2-20000000000002000-2-202200000000000000
χ292222-2-22-22-2-2-222-222-2-2-2-22i2i−2i−2i2i2i−2i−2i00002−2i2i00000000000000000000
χ302222-2-22-22-2-2-222-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i000022i−2i00000000000000000000
χ312222-2-22-22-2-2-222-2-2-222222i2i−2i−2i−2i−2i2i2i0000-2−2i2i00000000000000000000
χ322222-2-22-22-2-2-222-2-2-22222−2i−2i2i2i2i2i−2i−2i0000-22i−2i00000000000000000000
χ332222-2-2-22-22222-2-20000002222000000000-2-2200-200002-20000000000
χ342222-2-2-22-22222-2-20000002222000000000-2-2-20020000-220000000000
χ352222-2-2-22-22222-2-2000000-2-2-2-200000000022200-20000-220000000000
χ362222-2-2-22-22222-2-2000000-2-2-2-200000000022-200200002-20000000000
χ37444444-4-4-444-4-44-400000000000000000000000000000000000000000
χ384444-4-4-44-4-4-44-44400000000000000000000000000000000000000000
χ394-44-44-444-400-4000000000000000004-40000000000000000000000000
χ404-44-44-444-400-400000000000000000-440000000000000000000000000
χ414-44-44-4-4-440040000000000000000000000000000000000002i2−2i2000000
χ424-44-44-4-4-44004000000000000000000000000000000000000−2i22i2000000
χ434-44-4-444-4-400400000000000000000004i−4i00000000000000000000000
χ444-44-4-444-4-40040000000000000000000−4i4i00000000000000000000000
χ454-44-4-44-44400-400000000000000000000000000000000002i2−2i200000000
χ464-44-4-44-44400-40000000000000000000000000000000000−2i22i200000000
χ474-4-44000004-400002i2−2i2002i2−2i22i2−2i22i2−2i22-22-2000000000000000000000000000
χ484-4-44000004-400002i2−2i2002i2−2i2−2i22i2−2i22i2-22-22000000000000000000000000000
χ494-4-44000004-40000−2i22i200−2i22i22i2−2i22i2−2i2-22-22000000000000000000000000000
χ504-4-44000004-40000−2i22i200−2i22i2−2i22i2−2i22i22-22-2000000000000000000000000000
χ514-4-4400000-4400002i2−2i200−2i22i222−22−2222−2i2i2i−2i000000000000000000000000000
χ524-4-4400000-4400002i2−2i200−2i22i2−222222−222i−2i−2i2i000000000000000000000000000
χ534-4-4400000-440000−2i22i2002i2−2i222−22−22222i−2i−2i2i000000000000000000000000000
χ544-4-4400000-440000−2i22i2002i2−2i2−222222−22−2i2i2i−2i000000000000000000000000000
χ5588-8-8000000000000042−420000000000000000000000000000000000000
χ5688-8-80000000000000−42420000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).